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Simplifying 0 = (4x4) + -1(15x2) Remove parenthesis around (15x2) 0 = (4x4) + -1 * 15x2 Multiply -1 * 15 0 = (4x4) + -15x2 Reorder the terms: 0 = -15x2 + (4x4) Solving 0 = -15x2 + (4x4) Solving for variable 'x'. Remove the zero: 15x2 + (-4x4) = -15x2 + (4x4) + 15x2 + (-4x4) Reorder the terms: 15x2 + (-4x4) = -15x2 + 15x2 + (4x4) + (-4x4) Combine like terms: -15x2 + 15x2 = 0 15x2 + (-4x4) = 0 + (4x4) + (-4x4) 15x2 + (-4x4) = (4x4) + (-4x4) Combine like terms: (4x4) + (-4x4) = 0 15x2 + (-4x4) = 0 Factor out the Greatest Common Factor (GCF), 'x2'. x2(15 + (-4x2)) = 0Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}Subproblem 2
Set the factor '(15 + (-4x2))' equal to zero and attempt to solve: Simplifying 15 + (-4x2) = 0 Solving 15 + (-4x2) = 0 Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + (-4x2) = 0 + -15 Combine like terms: 15 + -15 = 0 0 + (-4x2) = 0 + -15 (-4x2) = 0 + -15 Combine like terms: 0 + -15 = -15 (-4x2) = -15 Divide each side by '-4'. x2 = 3.75 Simplifying x2 = 3.75 Take the square root of each side: x = {-1.936491673, 1.936491673}Solution
x = {0, -1.936491673, 1.936491673}
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